In an arithmetic progression, if the 1st term is x and the common difference is
Practice Questions
Q1
In an arithmetic progression, if the 1st term is x and the common difference is 2, what is the expression for the 6th term?
x + 10
x + 12
x + 8
x + 14
Questions & Step-by-Step Solutions
In an arithmetic progression, if the 1st term is x and the common difference is 2, what is the expression for the 6th term?
Step 1: Identify the first term of the arithmetic progression, which is given as x.
Step 2: Identify the common difference, which is given as 2.
Step 3: Recall the formula for the nth term of an arithmetic progression, which is a + (n-1)d, where a is the first term, n is the term number, and d is the common difference.
Step 4: For the 6th term, set n = 6 in the formula. So, the 6th term is x + (6-1)*2.
Step 5: Simplify (6-1) to get 5. Now the expression becomes x + 5*2.
Step 6: Calculate 5*2, which equals 10. So, the expression is x + 10.
